Application of Derivatives 2 Question 9

9. The length of a longest interval in which the function 3sinx4sin3x is increasing, is

(2002, 2M)

(a) π3

(b) π2

(c) 3π2

(d) π

Show Answer

Solution:

  1. Let f(x)=3sinx4sin3x=sin3x

The longest interval in which sinx is increasing is of length π.

So, the length of largest interval in which f(x)=sin3x is increasing is π3.



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